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Finding the Fourth Proportional to 451.95, 617.22 and 447.09

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Solution

The fourth proportional to 451.95, 617.22 and 447.09 is: 610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.95 : 617.22 = 447.09 : x
  2. Step 2: Convert to fraction form
    451.95/617.22 = 447.09/x
  3. Step 3: Cross multiply
    451.95x = 617.22 × 447.09
  4. Step 4: Simplify right side
    451.95x = 275,952.89
  5. Step 5: Solve for x
    x = 275,952.89/451.95
  6. Step 6: Final answer
    x = 610.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.